In this paper, by investigating finite C~*(p)-p-groups the authors have obtained that the nilpotent class of C~*(p)-p-groups is at most 3 and their derived subgroup is elementary abelian p-group.

• 在有限p群条件下；对偶研究S(A；C)群；证明了C(p)p群的幂零类不超过3；其导群是初等阿贝尔群.